The cubic equation whose roots are the square of the roots of the equation is

$$ 12 x^3-20 x^2+x+3=0 $$

$\alpha, \beta$ and $\gamma$ are the roots of the equation $x^3+3 x^2-10 x-24=0$ If $\alpha(\beta+\gamma), \beta(\gamma+\alpha)$ and $\gamma(\alpha+\beta)$ are the roots of the equation $x^3+p x^2+q x+r=0$, then $q$ is equal to

Among the 4 -digit numbers formed using the digits $0,1,2,3$ and 4 when repetition of digits allowed. Then, the number of numbers which are divisible by 4 is

The number of ways of arranging 2 red, 3 white and 5 yellow roses of different sizes into a garland such that no two yellow roses come together is